Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Standard form is
ax+by=c
where a,b,c are integers
y+3=1/4x
timesboth sides by 4
4y+12=x
minus x both sides
-x+4y+12=0
minus 12 both sides
-x+4y=-12
(I like x to be positive so)
times both sides by -1
1x-4y=12
a=1
b=-4
c=12
Answer:
It is the 2nd choice!
Step-by-step explanation:
Answer:
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Step-by-step explanation:
We are given
Bethel Park is 28 miles directly west of Jeanette
10.3 miles directly south of Pittsburgh
We can draw diagram
we can see that this is triangle
so, we can use Pythagoras theorem
and we get

now, we can solve for x


So,
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles